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Evolutionary conditions for shock waves in collisionless plasma and stability of the associated flow

Published online by Cambridge University Press:  13 March 2009

Shigeki Morioka  and
John R. Spreiter
Shigeki Morioka
Affiliation:
Space Sciences Division, Ames Research Center, NASA, Moffett Field, California 94035
John R. Spreiter
Affiliation:
Space Sciences Division, Ames Research Center, NASA, Moffett Field, California 94035
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Abstract

The evolutionary condition for transverse and normal shock waves, and the fire- hose and mirror instability conditions for the associated flow, in a collisionless, anisotropic plasma having a strong magnetic field are determined using the theoretical representation of Chew, Goldberger & Low (1956) for such a medium. The results are expressed in terms of the Mach number, Alfvén Mach number, and the ratio of the temperatures parallel and perpendicular to the magnetic field in the flow approaching the shock wave, and applied to ascertain in what range of these parameters various types of instabilities may occur. The effect of the heat flux, which does not vanish generally in a collisionless plasma, on the shock stability is discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 3 , August 1968 , pp. 449 - 463
Copyright
Copyright © Cambridge University Press 1968

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References

REFERENCES

Abraham-Shrauner, B. 1967 a J. Plasma Phys. 1, 361.CrossRefGoogle Scholar
Abraham-Shrauner, 1967 b J. Plasma Phys. 1, 379.CrossRefGoogle Scholar
Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. M.I.T. Press.CrossRefGoogle Scholar
Chew, G. F., Goldberger, M. L. & Low, F. E. 1956 Proc. Roy. Soc. A 236, 435.Google Scholar
Jeffrey, A. & Taniuti, T. 1964 Non-Linear Wave Propagation. New York: Academic Press.Google Scholar
Kato, Y., Tajiri, M. & Taniuti, T. 1966 J. Phys. Soc. Japan 21, 765.CrossRefGoogle Scholar
Lynn, Y. M. To be published.Google Scholar
Macmahon, A. 1965 Phys. Fluids 8, 1840.CrossRefGoogle Scholar
Urashima, S. & Morioka, S. 1966 J. Phys. Soc. Japan 21, 1431.CrossRefGoogle Scholar